Respuesta :

mhanifa

Answer:

  • a = 2, b = -4

Step-by-step explanation:

To make the given piecewise function continuous we need:

  • ax² - b = 6 and 5ax + b = 6 at x = 1

It gives us the system:

  • a(1²) - b = 6 ⇒ a - b = 6
  • 5a(1) + b = 6 ⇒ 5a + b = 6

Sum of the two:

  • a - b + 5a + b = 6 + 6
  • 6a = 12
  • a = 2

Then b is:

  • 2 - b = 6
  • b = -4

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